FUZZY IDEALS AND FUZZY LIMIT STRUCTURES

[1] J. Ad´amek, H. Herrlich and G. E. Strecker,Abstract and concrete categories, J. Wiley &

Sons, New York, 1990.

[2] C. L. Chang,Fuzzy topological spaces, J. Math. Anal. Appl., 24 (1968), 182-193.

[3] G. Gierz, K. H. Hofmann, K. Keimel, J. D. Lawson, M. Mislove and D. S. Scott,A compendium

of continuous lattice, Springer Verlag, Berlin/Heidelberg/New York.

[4] U. H¨ohle,Upper semicontinuous fuzzy sets and applications, J. Math. Anal. Appl., 78 (1980),

659-673.

[5] U. H¨ohle and A. P. ˇSostak,Axiomatic foundations of fixed-basis fuzzy topology, Chapter 3 in:

H¨ohle U., Rodabaugh S. E.(Eds), Mathematics of Fuzzy Sets-Logic, Topology and Measure

Theory, Kluwer Academic Publishers (Boston/Dordrecht/London), (1999), 123-272.

[6] K. C. Min,Fuzzy limit spaces, Fuzzy Sets and Systems, 32 (1989), 343-357.

[7] T. Kubiak,On fuzzy topologies, (PhD Thesis, Adam Mickiewicz, Poznan, Poland, 1985.

[8] Y. M. Li,Limit structures over completely distributive lattices, Fuzzy Sets and Systems, 132

(2002), 125-134.

[9] S. E. Rodabaugh,Powerset operator foundations for poslat fuzzy set theories and topologies,

Chapter 2 in [5]: (1999), 91-116.

[10] S. E. Rodabaugh,Categorical foundations of variable-basis fuzzy topology, Chapter 4 in [5],

273-388.

[11] A. P. ˇSostak,On a fuzzy topological structure, Rendiconti Ciecolo Matematico Palermo

(Suppl. Ser. II),11 (1985), 89-103.

[12] G. J. Wang,Theory of topological molecular lattices, Fuzzy Sets and Systems, 47 (1992),

351-376.

[13] L. S. Xu,Characterizations of fuzzifying topologies by some limit structures, Fuzzy Sets and

Systems,123 (2001), 169-176.

[14] Z. Q. Yang,Ideals in topological molecular lattices, Acta Math.Sinica, 2 (1986), 276-279 (in

Chinese).

[15] M. Ying ,A new approach to fuzzy topology (I), Fuzzy Sets and Systems, 39 (1991), 303-321.

[16] Y. Yue and J. Fang,Categories isomorphic to the Kubiak-ˇSostak extension of TML, Fuzzy

Sets and Systems,157 (2006), 832-842.